Yes. Your insurer may decide to cancel your policy if you breach terms and conditions, or have provided false information. Your insurer may refuse to renew your policy for reasons such as a poor claims history or insured driver profile.
There is usually a stipulated notice period for cancellations. Note that refunds might also be subject to a minimum amount and that your insurer might reserve the right not to refund any premium if a claim has been made.
Please check with your insurer regarding their modus operandi before committing to a policy. For more such insurance claims advice, stay tuned with Brze.